[0001] This invention relates to a flywheel. More particularly, this invention relates to
a flywheel for ultra-high speed operation having a rim and a hub including radially
extending spokes coupling the rim to a shaft.
[0002] Flywheels have long been recognized as convenient devices for the storage of mechanical
energy. Energy is stored in a flywheel by causing it to rotate at a high speed about
an axis of rotation defined by a shaft. By mounting the shaft in low-friction bearings
and the flywheel in an evacuated chamber, frictional energy losses are minimized.
Thus, the flywheel has come to be recognized as a convenient device for the relatively
long-term storage of energy. Particular attention has been directed to the flywheel
as a device: for energy storage in mass-transportation vehicles operating under stop-and-go
conditions. For example, the flywheel may be charged with energy by bringing its rotational
speed to a high level while the vehicle is'stopped. Energy is then drawn from the
flywheel to accelerate the vehicle and power it toward it next stop. By using regenerative
braking energy which would conventionally be dissipated as heat is returned to the
flywheel for later use. Thus, the flywheel provides a conceptually-simple means of
storing energy for vehicular and other uses.
[0003] However, attempts to construct and utilize such a flywheel have been fraught with
difficulties and failures. For example, because the energy stored in a flywheel varies
directly with its moment of inertia and as the square of its rot&tional speed, very
high operating speeds for the flywheel are desired. Further, in order to obtain best
performance from a vehicle, the weight of the flywheel must be kept to a minimum to
reduce vehicle weight. Therefore, flywheels having a rim have been recognized as offering
the highest moment of inertia for a given weight. When the rim is made of a multitude
of concentric annular shells made from circumferentially extending unidirectional
filamentary material in a matrix it is well adapted to withstand the high stresses
imposed by centrifugal force at high rotational speeds. Such flywheels conventionally
have a hub including spokes coupling the rim to the shaft. United States.Patents patents
860,336; 3,724,288; 3,964,341; 4,036,080; 4,176,#63; 4,183,259 and 4,186,623 illustrate
such flywheels.
[0004] However, even though the stress imposed by centrifugal force varies with the square
of the radius from the axis of rotation so that the rim is most highly stressed, at
the ultra-high rotational speeds desired the spokes are also highly stressed. Thus,
the desirability of also making the spokes of high-strength, low-weight unidirectional
filamentary material in a matrix has been recognized. United States Patent 4,286,475
illustrates such a flywheel.
[0005] Unfortunately, at the ultra-high rotational speeds desired, the rim and spokes of
a flywheel stretch and distort to expand radially. Even the unidirectional filamentary
material embedded in a matrix is elastic and deforms when exposed to the high centrifugal
forces created by ultra-high speed operation of a flywheel. Thus, the flywheel designer
is left with the difficult problem of how to unite matrix material spokes to the hub
of the flywheel. United States Patent 4,286,475 illustrates one solution to this problem.
[0006] In view of the many deficiencies of the flywheel art, it is an object for this invention
to provide a flywheel having a rim and spokes coupled to a shaft by hub portions which
distort in reponse to centrifugal force to match the distortion of the spokes.
[0007] Another object for this invention is to provide a hub for a flywheel having spokes
substantially avoiding stress concentrations between the spokes and the remainder
of the hub.
[0008] Still another object for this invention is to provide a hub for a flywheel with spokes
of unidirectional filamentary material embedded in a matrix.
[0009] In summary, one embodiment of this invention provides a flywheel having a rim and
spokes of filamentary material embedded in a matrix. The spokes engage the rim and
extend radially inwardly toward but short of the axis of rotation. A hub includes
portions axially coextensive with each spoke over a radially extending segment of
the latter. The portions are adhesively bonded to the spokes and decrease in transverse
cross sectional area with increasing radius throughout the radially extending segment.
During operation of the flywheel, the portions distort in response to centrifugal
force to expand radially substantially in unison with the spokes.
[0010] According to one aspect of the present invention a flywheel has radially extending
spoke means carrying a rim and attached to a hub by radially-yieldable securing means.
[0011] According to another aspect of the.invention, a flywheel has an annular rim rotatable
about an axis substantially concentric with said rim, a multitude of bars, each one
of said multitude of bars comprising length-wise extending unidirectional filamentary
material embedded in a:matrix, each one of said multitude of bars defining a radially
outer end drivingly associating with said annular rim, said multitude of bars extending
radially inwardly from said rim toward but short of said axis like spokes, hub means
for joining said multitude of bars into a unitary assembly.
[0012] According to another aspect of the invention the method of making a flywheel comprises
using bars of unidirectional filamentary material embedded in a matrix to form spokes
extending radially inwardly from an annular flywheel rim toward but short of an axis
of rotation of said.flywheel; and providing hub means for coupling said spokes with
a shaft defining said axis of rotation
[0013] According to another aspect of the invention in a method of operating a flywheel
having spokes adhesively bonded to a hub the flywheel is rotated at a speed at which
the rim and the spokes yield in response to centrifugal force to distort radially
outwardly, and the hub distorts elastically radially outwardly to match substantially
the radial distortion of the spokes to distribute evenly the stress within the adhesive
bonding the spokes to the hub.
[0014] According to another aspect of the invention a flywheel has a pair of axially congruent
radially extending spokes drivingly coupling a rim to a shaft, each one of said pair
of spokes defining a radially outer end, and an axially extending cap member radially
interposing between said radially outer ends of said spokes and said rim, means bonding
said cap member to said pair of spokes.
[0015] The invention may be carried into practice in various ways, and four embodiments
will be described by way of example with reference to the accompanying drawings in
which:-
Figure 1 is an axial plan view of a flywheel embodying the invention;
Figure 2 is an elevation view, partly in cross section, taken along line 2-2 of Figure
1;
Figure 3 is an enlarged fragmentary plan view, partly in cross section, taken along
line 3-3 of Figure 2;
Figure 4 is a fragmentary cross sectional view taken along line 4-4 of Figure 3;
Figure 5 is a fragmentary cross sectional view similar to Figure 4 and illustrating
an alternative embodiment of the invention;
Figure 6 is an isolated perspective view of a component part of the flywheel illustrated
in Figure 5;
Figure 7 is a fragmentary axial plan view of a flywheel according to another alternative
embodiment of the invention;
Figure 8 is a fragmentary elevation view, partly in cross section, taken along line
8-8 of Figure 7; and
Figure 9 is a fragmentary cross section view similar to Figures 4 and 5 and illustrating
yet another alternative embodiment of the invention.
[0016] Figure 1 illustrates a flywheel 10 having a rim 12 and a hub generally referenced
by the numeral 14. The rim 12 is preferably of a conventional construction providing
a high ratio of moment of inertia to weight and also a high ratio of elastic modulus
to density. For example, the rim 12 may be constructed in accordance with the teachings
of United states Patents 4,036,080 or 4,186,623. The hub 14 is of cruciform shape
in plan view and includes a multitude of radially extending spokes 16. The spokes
16 comprise generally flat-sided bars of unidirectional filamentary material embedded
in a matrix. The filamentary material extends longitudinally in the bars so that the
filaments extended radially in the spokes 16. The spokes 16 may be made in accordance
with the teaching of United States Patent 4,286,475, the disclosure of which is hereby
incorporated. herein to the extent necessary for a full understanding of this invention.
The hub 14 also includes a central section 18 which is also of cruciform shape in
plan view. The central section 18 includes a multitude of radially extending portions
20 each axially aligning with one of the multitude of spokes 16.
[0017] Figure 2 illustrates that the central section 18 of hub 14 includes a pair of substantially
identical cruciform end plates 22 and 24 each of which defines a pintle shaft 26 and
28, respectively, extending axially therefrom. The.pintle shafts 26 and 28 cooperate
to define an axis of rotation for the flywheel 10. Figure 2 also illustrates that
the spokes 16 are arranged in five axially spaced radial arrays, or axial levels,
of four spokes each. The five radial arrays of spokes are axially spaced apart by
four substantially identical cruciform spacer plates 30, 32, 33 and 34. The spokes
16 extend radially inwardly from the rim 12 toward but short of the. axis of rotation
of the flywheel 10. Each of the end plates 22, Z4',and each of the spacer plates 30,
32, 33 and 34 defines four of the multitude of radially extending portions 20 of the
central section 18. The radially extending portions 20 are axially aligning with and
contiguous to the spokes 16. Further, the portions 20 are radially coextensive with
the spokes 16 over a region of each spoke extending from a radially inner end 36 of
each spoke toward but short of the radially outer end of each spoke.
[0018] Figures 1 and 2 also illustrate that the hub 14 includes four axially extending cap
members 21 interposing radially between the radially outer ends of the spokes 16 and
the rim 12. The cap members 21 are composed of multidirectional filamentary material
embedded in a matrix. For example, the cap members 21 may include a woven cloth of
filamentary material embedded in a matrix or a mat of randomly oriented filamentary
material embedded in a matrix. In either case, the material from which the cap members
21 are formed has substantially isotropic physical properties. In fact, the cap members
21 may be made of a truly isotropic material such as a metal. For example, the cap
members 21 may be made of aluminum alloy material. The cap members 21 extend axially
to bridge the axial spaces between the spokes 16. Further, the cap members 21 are
adhesively bonded to the outer ends of the spokes 16. Thus, the cap members 21 serve
to tie together the radially outer ends of the axially congruent spokes 16 in each
of the five levels of the hub 14. Consequently, the cap members 21 increase the rigidity
of the hub 14. still further, the cap members 21 distribute radial loads between the
spokes 16 and the rim 12 to avoid stress concentrations in the latter.
[0019] Figure 3 illustrates that each of the radial arrays, or levels, of spokes 16 includes
an eight-sided center piece 38. The inner ends 36 of the spokes 16 confront but do
not contact the center pieces 38. Thus, the inner ends 36 each define a gap "g" with
the center pieces 38. The gaps "g" are filled with a scrim-controlled adhesive bonding
the inner ends 36 of the spokes 16 to the center pieces 38. The scrim-controlled adhesive
is essentially a fabric cloth impregnated with adhesive. When subjected to pressure
during curing of the adhesive, the scrim cloth prevents the adhesive from being squeezed
out of the joint. Thus, the gaps "g" may be controlled to a high degree of accuracy
to insure concentricity of the spokes 16 and rim 12 with the axis of rotation of the
flywheel 10.
[0020] Figure 3 also illustrates that the spacer plates 30, 32, 33, and 34 each have a cruciform
shape in plan view which is substantially identical to that of the end plates 22 and
24. The portions 20 of the end plates 22 and 24 and of the spacer plates 30, 32, 33
and 34 are each axially contiguous to one of the radial arrays of spokes 16. Further,
the portions 20 each extend radially outwardly to terminate in a radially outer end
40. The end 40 of each portion 20 is radially outward of the inner end 36 of each
spoke 16. Thus, the portions 20 are radially coextensive with the spokes 16 over a
region 42 extending from the end 36 to the end 40. Within the region 42, the portions
20 each decrease in transverse cross sectional area with increasing radius. For example,
by comparing the transverse width of the portion 20 at-the plane defined by the line
"a", viewing Figure 3, with the width of the portion at the line "b" and noting that
the portion has a substantially constant axial thickness, it will easily be seen that
the cross sectional area of the portion decreases with increasing radius within the
region 42.
[0021] Viewing Figure 4, it will be seen that within the region 42, the spokes 16 do not
actually contact the spacer plates 30-34 or end plates 22, 24. Moreover, the center
pieces 38 have a greater axial dimension than-do the spokes 16. Thus, the spacer plates
30-34 and end plates 22, 24 are spaced apart by the center pieces 38 to define a gap
"g" with the spokes 16. The gap "g" is filled with a scrim-controlled adhesive bonding
the spokes 16 to the plates 22, 24 and 30-34.
[0022] Figure 4 also illustrates that the spacer plates 30-34 define axially extending apertures
44 circumscribing and concentric with the axis of rotation of flywheel 10. The cen-
. ter pieces 38 include reduced-diameter bosses 46 extending axially into the apertures
44 to insure concentricity of the center pieces 38 with the spacer plates 30-34. The
bosses 46 cooperate with the remainder of each spacer 38 to define annular shoulders
48 circumscribing-tbe bosses 46. The shoulders 48 engage the spacer plates 30-34 to
define radially extending annular bonding areas 50. Because the plates 22, 24 and
30-34 and center prices 38 are made of metal, they may be brazed together at the bonding
areas 50 to form a unitary central section 18 for the hub 14. Alternatively, the plates
and center pieces may be adhesively bonded together by a suitable metal-to-metal adhesive.
Such an adhesive is made by Minnesota Mining and Manufacturing and sold under the
name Scotch Weld 2214. Viewing Figure 4, it will be seen that the bosses 46 of adjacent
center prices 38 cooperate to define chambers 52 within the apertures 44. When the
central section 18 is assembled with adhesive, the cambers 52 form convenient reservoirs
for the adhesive so that each of the adjacent center pieces 38 are also bonded together.
It will be understood in light of the above that the end plates 22, 24 each define
a recess (not shown) for receiving the boss of the adjacent center piece 38 so that
the end plates 22, 24 also define annular bonding areas 50 and chambers 52.
[0023] Figures 5 and 6 illustrate an alternative embodiment of the invention wherein a flywheel
hub 54 includes spokes 16 arranged as in the embodiment illustrated by Figures 1-4.
However, the embodiment illustated by Figures 5 and 6 includes cruciform spacer plates
56,58 and end plates (not shown) each defining axially extending bosses 60 which are
received in axially extending recesses 62 defined by center pieces 64. Viewing figure
6, it will be seen that the center pieces 64 are eight-sided and define four axially
extending surfaces 66 (only two of which are visible in Figure 6) for bonding to the
inner ends 36 of the spokes 16 via scrim-controlled adhesive. The center pieces 64
also define a pair of radially extending end surfaces 68 (only one of which is visible)
for bonding to the adjacent spacer plates or end plates. The center pieces also define
a number of radially extending grooves 70 extending radially outwardly from the recesses
62 and open at their outer ends. Thus, where an adhesive is used to bond the plates
56 and center pieces 64 together, the grooves 70 allow the escape of trapped air and
excess adhesive from chambers 72 defined within the recesses 62.
[0024] Figures 7 and 8 illustrate another alternative embodiment of the invention wherein
a cruciform flywheel hub 74 includes two axially spaced radial arrays, or axial levels,
of spokes 16 which are axially sandwiched with a pair of end plates 76 and 78 and
with a single spacer plate 80. The hub 74 includes a pair of center pieces 82. One
of the center pieces 82 is received in each one of the radial array of spokes 16.
Similarly to the embodiments of figures 1-6, the embodiment illustrated in Figures
7 and 8 has the spokes 16 bonded to the center pieces 82 and to the plates 76-80 by
scrim-controlled adhesive. However, each of the plates 76-80 defines four holes (not
visible in the Figures) axially aligning with similar holes in the other two plates.
Four tie bolts 84 pass axially through the holes of the plates 76-80 to apply an axially
directed clamping force holding the plates 76-80 together. During assembly of the
hub 74, the tie bolts serve to hold the various parts in place while the adhesives
cure. Further, the tie bolts assist in holding the component parts of the hub 74 in
proper alignment during manufacture to help insure concentricity of the flywheel rim
(not shown) and dynamic balance of the flywheel. During use of the hub 74, the tie
bolts 84 may remain in place or they may be removed before the hub is used. Removal
of the tie bolts insures that they do not interfere with the radial expansion of,
and the smooth distribution of stresses within, the hub 74 during operation. Further,
removal of the tie bolts 84 obviates any need to provide lashings or other structure
preventing the tie bolts from bowing radially outwardly during operation of the flywheel.
[0025] Figure 9 illustrates yet another alternative embodiment of the invention which is
generally similar to the embodiment illustrated by Figures 5 and 6. The hub 86 illustrated
in Figure 9 includes a multitude of spokes 16 which are arranged in radial arrays
with center pieces 88 and sandwiched with spacer plates 90. The center pieces 88 define
axially extending recess 92 receiving axially extending bosses 94 defined by the spacer
plates 90. The spokes 16 are bonded to the center pieces 88 and to the spacer plates
90 by scrim-controlled adhesive, as with the embodiment of Figures 5 and
7 6. However, the hub 86 includes cruciform spacer plates
90 which each include a pair of component parts 90a and 90b. The parts 90a and 90b are
substantially identical to each other and are secured together back-to-back by a scrim-contolled
adhesive. The parts 90a and 90b are each stamped outwardly at 96 to define the bosses
94. Because of the stampings 96, the parts 90a and 90b cooperate to define a cavity
98 therebetween. Each of the parts 90a and 90b defines a radially outer end 100 adjacent
one of the spokes 16 and tapers axially and radially from the end 100 toward the interface
of the two parts of the spacer plate 90.' Because of the taper of the parts 90a and
90b adjacent the ends 100, the parts cooperate to define a circumferentially extending
V-shaped notch 102 therebetween. As mentioned supra, the spacer plates 90 are cruciform
shaped in plan view so that the tranverse cross sectional area of the spacer plates
90 decreases with increasing radius between the inner ends 36 of the spokes 16 and
the outer ends 100 of the plates 90. However, the plates 90 also decrease in cross
sectional area with increasing radius near their outer ends because of the notches
102. Thus, the spacer plates define a cross sectional area decreasing to zero substantially
steplessly with increasing radius. Consequently, a stress concentration at the radially
outer end 100 is substantially avoided.
[0026] During operation of a flywheel according to this invention, centrifugal force causes
the rim and spokes to expand radially outwardly. The rim 12 is arranged to continuously
exert a radially inwardly directed force on the outer ends of the spokes 16 despite
the radial expansion of the rim during operation of the flywheel. Despite the inwardly
directed force exerted by the rim at the outer end of each spoke, centrifugal force
causes the net force at the inner end of
.the spokes 16 to be directed radially outwardly. As set out supra, the spokes 16 are
secured to the central sections of the hubs 14, 54, 74 and 86 only by adhesive bonding.
Thus, the outwardly directed force at the inner ends of the spokes 16 tends to pull
the spokes out of the central section; causing stresses in and straining of the adhesive
bonds. However, the spacer plates 30-34, 56, 58, 80 and 90 and end plates 22 29, 76,
78 also expand radially outwardly in response to centrifugal force. Further, the radially
outwardly directed forces on the spokes 16 are transferred to the central sections
of the hubs via the spacer plates, end plates and center pieces, causing further radial
expansion of the spacer plates and end plates. Because the spacer plates and end plates
decrease in cross sectional area with increasing radius between the inner ends 36
of the spokes 16 and the outer ends of the spacer plates and end plates, the plates
expand radially substantially in unison with the radial expansion of the spokes 16.
Thus, stress concentrations in the adhesive bonds are substantially avoided. Such
stress concentrations could cause localized failure of the bonds and a "zipper effect"
leading to failure of the entire bond and destruction of the flywheel.
[0027] Those skilled in the pertinent art will recognize that the spokes 16 also transfer
torque to and from the rim 12. Thus, the adhesive bonding the spokes 16 to the hubs
must not only resist centrifugal forces but also torque-induced forces as well. Such
torque-induced forces tend to move the outer ends of the spokes 16 circumferentially
with respect to their normal positions. Thus, such forces tend to cause rotational
freedom of the spokes relative to their normal positions. Examination of the hub constructions
provided by this invention will show that they are well adapted to resist such torque-induced
forces because the spokes 16 are bonded to the plates throughout bonding areas which
extend radially for a considerable distance as well as circumferentially. The adhesive
in these bonding areas is subjected primarly to shear stresses which are well distributed
without stress concentrations. Thus, the spokes 16 are secured to the central sections
of the hubs substantially without rotational freedom despite the fact that the central
sections of the hubs are yieldable radially in response to centrifugal force. That
is, the union between the spokes and the central sections of the hubs is substantially
rigid circumferentially.
[0028] Further, those skilled in the pertinent art will recognize that this invention is
not limited to flywheels having multiples of four radial spokes. For example, the
flywheel could have two or three radial spokes or a number greater than four. It will
be apparent in light of the above that this invention provides a flywheel as well
as a method of making a flywheel. While this invention has been described by reference
to preferred embodiment-thereof, no limitation should be implied because of such reference.
The spirit and scope of this invention is set forth by the appended claims which alone
define the invention.
1. A flywheel having radially extending spoke means (16) carrying a rim (12) and attached
to a hub (14) by radially- yieldable securing means.
2. A flywheel as claimed in Claim 1 in which the spoke means are attached to the hub
by an adhesive (g) which may constitute the sole connection between the spoke means
and the hub.
3. A flywheel as claimed in either of the preceding claims in which the hub has a
radially extending portion (20) radially co-extensive with each of a number of spokes
(16) and attached to the spoke through the radially-yieldable securing means.
4. A flywheel as claimed in Claim 3 in which the radially extending parts of the hub
taper radially outwardly.
5. A flywheel as claimed in any of the preceding claims in which the spoke means comprise
a number of spokes each consisting of longitudinal filaments in a matrix material,
the filaments extending radially.
6. A flywheel as claimed in any preceding claims including a number of layers of circumferentially
separated radial spokes, the spokes in each layer being axially aligned with spokes
in other layers, and spacer plates (32,56,80,90) separating the spokes axially and
constituting components of the radially-yieldable securing means.
7. A flywheel as claimed in Claim 6 in which the hub includes one or more axial spacers
(38.,64, 88) for locating the spacer plates in relation to each other.
8. A flywheel as claimed in any of the preceding claims in which the spoke means terminate
at their radially inward ends short of the surface of the hub.
9. A flywheel as claimed in Claim 8 in which the radially-yieldable securing means
comprises adhesive in the gap between the radially inner end of the spoke means and
the surface of the hub.
10. A flywheel as claimed in any of the preceding claims including an axial cap (21)
of multi-directional filamentary matrix material, or of other isotropic material for
transferring loads-between the radially outer ends of the spoke means, and the rim.